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Finding the Fourth Proportional to 4,358.93, 6,538.40 and 1,585.09

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Solution

The fourth proportional to 4,358.93, 6,538.40 and 1,585.09 is: 2,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.93 : 6,538.40 = 1,585.09 : x
  2. Step 2: Convert to fraction form
    4,358.93/6,538.40 = 1,585.09/x
  3. Step 3: Cross multiply
    4,358.93x = 6,538.40 × 1,585.09
  4. Step 4: Simplify right side
    4,358.93x = 10,363,911.84
  5. Step 5: Solve for x
    x = 10,363,911.84/4,358.93
  6. Step 6: Final answer
    x = 2,377.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.